Geodesic
Positive solutions of a boundary value problem with integral boundary conditions
Electronic journal of differential equations, Tome 2011 (2011)
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $\mu^*, \lambda^*$ so that some nonlinear differential equations, with nonlocal boundary conditions of integral type, have two positive solutions for all $\lambda$ with $\mu^* \lambda \lambda^*$.
Classification : 34B10, 34B15, 34B18
Keywords: nonlocal boundary conditions, positive solution 
@article{EJDE_2011__2011__a6,
     author = {Webb,  Jeff R.L.},
     title = {Positive solutions of a boundary value problem with integral boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1229.34039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a6/}
}
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Webb,  Jeff R.L. Positive solutions of a boundary value problem with integral boundary conditions. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a6/